55137307702500 has 675 divisors, whose sum is σ = 186870634557607. Its totient is φ = 14171322816000.

The previous prime is 55137307702429. The next prime is 55137307702507. The reversal of 55137307702500 is 520770373155.

The square root of 55137307702500 is 7425450.

It is a perfect power (a square), and thus also a powerful number.

55137307702500 is a `hidden beast` number, since 5 + 5 + 1 + 3 + 73 + 0 + 7 + 70 + 2 + 500 = 666.

55137307702500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 36169470979236 + 18967836723264 = 6014106^2 + 4355208^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55137307702507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 96902122216 + ... + 96902122784.

Almost surely, 2^{55137307702500} is an apocalyptic number.

55137307702500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55137307702500 is the 7425450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55137307702500

55137307702500 is an abundant number, since it is smaller than the sum of its proper divisors (131733326855107).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55137307702500 is an frugal number, since it uses more digits than its factorization.

55137307702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 771750, while the sum is 45.

The spelling of 55137307702500 in words is "fifty-five trillion, one hundred thirty-seven billion, three hundred seven million, seven hundred two thousand, five hundred".